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Finding the Fourth Proportional to 453.60, 678.80 and 415.20

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Solution

The fourth proportional to 453.60, 678.80 and 415.20 is: 621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.60 : 678.80 = 415.20 : x
  2. Step 2: Convert to fraction form
    453.60/678.80 = 415.20/x
  3. Step 3: Cross multiply
    453.60x = 678.80 × 415.20
  4. Step 4: Simplify right side
    453.60x = 281,837.76
  5. Step 5: Solve for x
    x = 281,837.76/453.60
  6. Step 6: Final answer
    x = 621.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.